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vlabodo [156]
3 years ago
9

Help me please and thanks!!

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

11 t= -5   17 r = 27

12 n= -1   18 k = -20

13 m=-5  

14 x= - 11

15 y = 70

16 f = - 70

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One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui
Oksana_A [137]

Answer:  90% confidence interval would be (-0.2483,-0.0717)

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, p_m=\dfrac{10}{50}=0.2

n₂ = 50

Number of electronic tagged penguins = 18

So, p_e=\dfrac{18}{50}=0.36

So, at 90% confidence interval, z = 1.28

So, interval would be

(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)

Hence, 90% confidence interval would be

(-0.2483,-0.0717)

6 0
3 years ago
Why did the fraction jump into boiling water
photoshop1234 [79]
It was better than being drawn and quartered 
5 0
3 years ago
Find the equation of a line through (3, 1) and perpendicular to 10x + 3y = 5
Illusion [34]

Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10

3 0
2 years ago
A cafeteria table has an area of 21 square feet. If three talbes are pushed together, what is the combined area of the talbes
Shtirlitz [24]
The combined area of the tables would be 63.
6 0
3 years ago
Read 2 more answers
Eight more than twice a number is greater than negative sixteen
djyliett [7]

Answer:

2x + 8 > -16

Step-by-step explanation:

Any time you see twice a number, it means 2x because 2x indicates you are multiplying whatever the variable is by two (also known as doubling it). Whenever you see more than, it indicates addition, so now you know to add eight to that answer. Finally, place the greater than symbol and put -16 on the other side.

4 0
3 years ago
Read 2 more answers
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